We report on the initial results of a spectroscopic investigation of g
alaxies in the Hubble Deep Field which exhibit spectral discontinuitie
s between the F450W and F300W passbands, indicative of the presence of
the Lyman continuum break in the redshift range 2.4 less than or simi
lar to z less than or similar to 3.4. We have employed color selection
criteria similar to those we have used for selecting high redshift ga
laxy candidates from ground-based images. We find that, as for the gro
und-based color selection, the criteria are very successful in selecti
ng high redshift objects. Of the 8 galaxies observed (selected from a
list of 23 candidates with magnitudes equivalent to R less than or equ
al to 25.3), 5 have confirmed redshifts in the range 2.59 less than or
equal to z less than or equal to 3.22, with the remaining 3 being ind
eterminate because of contamination from nearby brighter objects. As e
xpected, the HST filter system is sensitive to a somewhat broader rang
e of redshifts than our ground-based U-n G R filter system, and theref
ore the surveyed volume per unit area on the sky is correspondingly la
rger. The distribution of candidates on the plane of the sky is clearl
y non-uniform, consistent with the available ground-based data on the
high redshift galaxies. Most Lyman break objects in the Hubble Deep Fi
eld exhibit a similar range of morphological properties to the z>3 gal
axies we have previously identified in other fields, characterized by
very compact cores (some with multiple components) with half-light rad
ii of 0.2-0.3 arcseconds, often surrounded by more diffuse and asymmet
ric ''halos.'' A few of the brighter HDF Lyman break galaxies, however
, have particularly unusual morphologies. (C) 1996 American Astronomic
al Society.